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Finding the Third Proportional to 23,717.81 and 35,726.06

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Solution

The third proportional to 23,717.81 and 35,726.06 is: 53,814.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,717.81 : 35,726.06 = 35,726.06 : x
  2. Step 2: Convert to fraction form
    23,717.81/35,726.06 = 35,726.06/x
  3. Step 3: Cross multiply
    23,717.81x = 35,726.06 × 35,726.06
  4. Step 4: Simplify right side
    23,717.81x = 1,276,351,541.75
  5. Step 5: Solve for x
    x = 1,276,351,541.75/23,717.81
  6. Step 6: Final answer
    x = 53,814.05

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.